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Table 4 Estimated power of the tests under Setting 1, where \(\delta\) is the mixing proportion

From: Accommodating multiple potential normalizations in microbiome associations studies

  

None

Rarefaction

TSS

CSS

CLR

Omnibus

\(\delta =0\%\)

Linear Regression

0.943

0.842

0.844

0.991

0.999

0.996

 

ZINQ

0.882

0.738

0.902

0.882

0.992

0.974

 

QRank

0.780

0.821

0.799

0.809

0.943

0.900

\(\delta =10\%\)

Linear Regression

0.738

0.613

0.616

0.924

0.976

0.948

 

ZINQ

0.658

0.493

0.689

0.651

0.923

0.833

 

QRank

0.526

0.576

0.551

0.564

0.761

0.571

\(\delta =20\%\)

Linear Regression

0.415

0.332

0.336

0.658

0.793

0.690

 

ZINQ

0.348

0.241

0.371

0.346

0.650

0.497

 

QRank

0.245

0.276

0.261

0.267

0.417

0.328

\(\delta =30\%\)

Linear Regression

0.148

0.120

0.122

0.268

0.364

0.271

 

ZINQ

0.114

0.084

0.125

0.117

0.265

0.164

 

QRank

0.086

0.098

0.090

0.092

0.140

0.108

  1. The two highest powers are in bold